# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_bool,h4s_predu_u_sets_sing(s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)))=s(t_bool,f),file('i/f/pred_set/SING__EMPTY', ch4s_predu_u_sets_SINGu_u_EMPTY)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/pred_set/SING__EMPTY', aHLu_TRUTH)).
fof(4, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)|s(t_bool,X2)=s(t_bool,f)),file('i/f/pred_set/SING__EMPTY', aHLu_BOOLu_CASES)).
fof(12, axiom,![X1]:![X7]:(p(s(t_bool,h4s_predu_u_sets_sing(s(t_fun(X1,t_bool),X7))))<=>?[X5]:s(t_fun(X1,t_bool),X7)=s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X5),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)))),file('i/f/pred_set/SING__EMPTY', ah4s_predu_u_sets_SINGu_u_DEF)).
fof(13, axiom,![X1]:![X5]:![X7]:~(s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X5),s(t_fun(X1,t_bool),X7)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)),file('i/f/pred_set/SING__EMPTY', ah4s_predu_u_sets_NOTu_u_INSERTu_u_EMPTY)).
# SZS output end CNFRefutation
